the profit made by a company when 60 units of its product is sold is R 1 600.00 when 150 unit of its products are sold, the profit increases to R 5 200.00 assuming that the profit function is liner and if the form P(u) = a + bu where P is the profit in Rand and u is the number of unit sold, determine the :
1. value of a and b
2. break-even level
3. number of units that need to be sold to realize a profit of R 12 000.00
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Answer:
Step-by-step explanation:
1. 1600 = a +b(60) …………………………Equation 1
5200= a + b(150)………………………Equation 2
1600 = a + 60b
5200 = a + 150b
-3600 = - 190b
-3600 = b
-190
b = 40
1600 = a + 40(60)
1600 = a + 2400
1600 – 2400 = a
a = -800
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